Determine the Difference of Mixed Numbers 52/19 and 29/64 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Difference of Mixed Numbers 52/19 and 29/64

The given mixed numbers are 52/19 and 29/64

Converting 52/19 mix number to fraction

Given Mixed Number is 5 2/19

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 5 and the fractional part is 2/19.

On adding them, they can be written as:

5/1 + 2/19

The L.C.M of the denominators 1 and 19 is 19.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 19.

5 x 19 + 2/19

95 + 2/19

After multiplying, the numerators 95 and 2 should be added.

97/19

The fraction value we get is 97/19.

After converting the Mixed Number 5 2/19 to the Improper Fraction,the result is 97/19.

Converting 29/64 mix number to fraction

Given Mixed Number is 2 9/64

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 2 and the fractional part is 9/64.

On adding them, they can be written as:

2/1 + 9/64

The L.C.M of the denominators 1 and 64 is 64.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 64.

2 x 64 + 9/64

128 + 9/64

After multiplying, the numerators 128 and 9 should be added.

137/64

The fraction value we get is 137/64.

After converting the Mixed Number 2 9/64 to the Improper Fraction,the result is 137/64.

Subtracting fractions 97/19 and 137/64

The given fractions are 97/19 and 137/64

Firstly the L.C.M should be done for the denominators of the two fractions 97/19 and 137/64

97/19 - 137/64

The LCM of 19 and 64 (denominators of the fractions) is 1216

Given numbers has no common factors except 1. So, there LCM is their product i.e 1216


= 97 x 64 - 137 x 19/1216

= 6208 - 2603/1216

= 3605/1216

Result: 3605/1216

In order to get the Mixed Number,we need to divide 3605 ÷ 1216 to get the Quotient and Remainder

3605 divided by 1216 using long division

The given Divisor = 1216 and Dividend = 3605

2
12163605
2432
1173

The Quotient is 2 and the Remainder is 1173

We get the Quotient = 2 and Remainder = 1173

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 2 1173/1216